International Journal of Control, Vol.88, No.8, 1441-1455, 2015
Robust eigenstructure clustering by non-smooth optimisation
We extend classical eigenstructure assignment to more realistic problems, where additional performance and robustness specifications arise. Our aim is to combine time-domain constraints, as reflected by pole location and eigenvector structure, with frequency-domain objectives such as the H-2, H or Hankel norms. Using pole clustering, we allow poles to move in polydisks of prescribed size around their nominal values, driven by optimisation. Eigenelements, that is poles and eigenvectors, are allowed to move simultaneously and serve as decision variables in a specialised non-smooth optimisation technique. Two aerospace applications illustrate the power of the new method.
Keywords:structured feedback control;eigenstructure assignment;modal shaping;non-smooth optimisation;frequency-domain;robust design